The number 14940
14940 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 83. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 14940.
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How to work it out
- 1
What is special about 14940: a Harshad number: divisible by its digit sum 18.
- 2
14940 is composite. Its prime factorisation is
- 3
The divisors add up to 45864; without 14940 itself that is 30924, so 14940 is abundant (30924 is more than 14940). Euler's totient φ(14940) = 3936 numbers up to 14940 share no factor with it.
- 4
The digits of 14940 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14940 = 2^{2} \times 3^{2} \times 5 \times 83 \]14940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 45864 |
| Euler totient φ(n) | 3936 |
| Square | 223203600 |
| Cube | 3334661784000 |
| Square root | 122.229293 (= 6√415) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.494 × |
14940 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and forty |
| Binary (base 2) | 11101001011100 |
| Octal (base 8) | 35134 |
| Hexadecimal (base 16) | 3A5C |
| Base 3 | 202111100 |
| As time | 14940 seconds = 4 h 9 min 0 s |
Is 14940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14940 ÷ 2 = 7470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14940 ÷ 3 = 4980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14940 ÷ 4 = 3735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14940 ÷ 5 = 2988) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14940 ÷ 6 = 2490) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14940 ÷ 9 = 1660) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14940 ÷ 10 = 1494) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14940 ÷ 12 = 1245) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14940 a prime number?
No. 14940 = × × 5 × 83, so it is divisible by 2.
What are the factors of 14940?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 83, 90, 166, 180, 249, 332, 415, 498, 747, 830, 996, 1245, 1494, 1660, 2490, 2988, 3735, 4980, 7470, 14940.
What is 14940 in binary?
11101001011100 (hexadecimal 3A5C, octal 35134).
What is the square root of 14940?
About 122.2293, exactly 6√415.
Is 14940 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14940?
14940 is a Harshad number: divisible by its digit sum 18.